Now showing items 1-4 of 4

  • A discrete bernoulli free boundary problem 

    González Nogueras, María del Mar; Gualdani, Maria; Shagholian, Henrick (2012-04)
    External research report
    Open Access
    We consider a free boundary problem for the p-Laplace operator which is related to the so-called Bernoulli free boundary problem. In this formulation, the classical boundary gradient condition is replaced by a condition ...
  • Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience 

    Carrillo, José A.; González Nogueras, María del Mar; Gualdani, Maria; Schonbek, Maria E. (2011-08)
    External research report
    Open Access
    In this paper we analyze the global existence of classical solutions to the initial boundaryvalue problem for a nonlinear parabolic equation describing the collective behavior of an ensemble of neurons. These equations ...
  • Some non-standard Sobolev spaces, interpolation and its application to PDE 

    González Nogueras, María del Mar; Gualdani, Maria (2009-06)
    External research report
    Open Access
    We consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. Those spaces are useful in the study of some nonlinear elliptic and parabolic equations where ...
  • Some non-standard sobolev spaces, interpolation and its application to PDE 

    González Nogueras, María del Mar; Gualdani, Maria (2012-10)
    Article
    Restricted access - publisher's policy
    We consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. These spaces are useful in the study of some nonlinear parabolic equations where the ...